On the non-universality of the error function in the smoothing of stokes discontinuities

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Chapman S. J. 1996On the non-universality of the error function in the smoothing of stokes discontinuitiesProc. R. Soc. Lond. A.4522225–2230http://doi.org/10.1098/rspa.1996.0118SectionRestricted accessArticleOn the non-universality of the error function in the smoothing of stokes discontinuities S. J. Chapman Google Scholar Find this author on PubMed Search for more papers by this author S. J. Chapman Google Scholar Find this author on PubMed Search for more papers by this author Published:01 January 1996https://doi.org/10.1098/rspa.1996.0118AbstractThe non-universality of the error function in the smoothing of Stokes lines is demonstrated by means of an example with smoothing function ∫ ϕ-∞ e -u2m+g(u) du, where m is any integer greater than 2 and g is any polynomical of degree less than or equal to 2m - 1.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Say F (2020) Optimal successive complementary expansion for singular differential equations, Mathematical Methods in the Applied Sciences, 10.1002/mma.6228, 44:9, (7423-7432), Online publication date: 1-Jun-2021. Lustri C, Pethiyagoda R and Chapman S (2019) Three-dimensional capillary waves due to a submerged source with small surface tension, Journal of Fluid Mechanics, 10.1017/jfm.2018.1030, 863, (670-701), Online publication date: 25-Mar-2019. Dean A, Matthews P, Cox S and King J (2015) Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice, SIAM Journal on Applied Dynamical Systems, 10.1137/140966897, 14:1, (481-521), Online publication date: 1-Jan-2015. Chu Y, Li Y, Xia W and Zhang X (2014) Best possible inequalities for the harmonic mean of error function, Journal of Inequalities and Applications, 10.1186/1029-242X-2014-525, 2014:1, (525), . Pasquetti S and Schiappa R (2010) Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c = 1 Matrix Models, Annales Henri Poincaré, 10.1007/s00023-010-0044-5, 11:3, (351-431), Online publication date: 1-Aug-2010. Chapman S, King J and Adams K (1998) Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 454:1978, (2733-2755), Online publication date: 8-Oct-1998. Xia W (2012) Two Optimal Double Inequalities for Error Function, Advanced Materials Research, 10.4028/www.scientific.net/AMR.557-559.2092, 557-559, (2092-2095) This Issue08 October 1996Volume 452Issue 1953 Article InformationDOI:https://doi.org/10.1098/rspa.1996.0118Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Manuscript received24/08/1995Manuscript accepted11/12/1995Published online01/01/1997Published in print01/01/1996 License:Scanned images copyright © 2017, Royal Society Citations and impact